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A359805
Irregular triangle T(n, k), n > 0, k = 1..A056137(A009023(n)), read by rows: the n-th row contains the numbers m < A009023(n) such that A009023(n)^2 + m^2 is a square.
2
3, 6, 5, 9, 8, 12, 15, 20, 7, 10, 18, 21, 16, 24, 12, 15, 27, 9, 30, 40, 33, 24, 28, 14, 20, 36, 39, 48, 33, 42, 11, 25, 32, 45, 16, 60, 48, 51, 24, 21, 30, 54, 65, 40, 57, 36, 18, 39, 60, 13, 35, 63, 80, 66, 48, 56, 60, 69, 28, 40, 72, 20, 75, 78, 36, 56, 88, 100
OFFSET
1,1
COMMENTS
See A360020 for the corresponding hypotenuses.
EXAMPLE
Triangle T(n, k) begins:
n A009023(n) n-th row
-- ---------- ---------
1 4 3
2 8 6
3 12 5, 9
4 15 8
5 16 12
6 20 15
7 21 20
8 24 7, 10, 18
9 28 21
10 30 16
11 32 24
12 35 12
13 36 15, 27
14 40 9, 30
PROG
(PARI) { for (n=1, 105, for (m=1, n-1, if (issquare(n^2+m^2), print1 (m", ")))) }
CROSSREFS
KEYWORD
nonn,look,tabf
AUTHOR
Rémy Sigrist, Mar 08 2023
STATUS
approved